Ch 2: Motion along a straight line Flashcards
Kinematics
The classification and comparison of motion
Particle
point-like object
Displacement
A change of position ( ∆x = x2 - x1 )
It can be in a positive or negative direction
Origin
reference point to find an object’s location
Magnitude
the absolute value of a displacement
Vector Quantity
A quantity that has both direction and magnitude (ex: displacement)
Average Velocity
v(avg) = delta x / delta t
in words: average velocity is equal to the change in x over the change in t ( t = time)
Average Speed
s(avg) = total distance / delta t
Instantaneous Velocity
v = dx / dt
Average accelaration
a(avg) = delta v / delta t
instantaneous accelaration
a = dv / dt = d^2x / dt^2
in words: acceleration of a particle at any instants is the second derivative of x with respect to time
g units
g = 9.8 m / s^2
First Basic Equation
a = a(avg) =9 v- v0) / (t - t0)
v = v0 + at
Second Basic Equation
v(avg) = (x - x0) / (t -0)
x = x0 + v(avg) t
v(avg) = 1/2 (v0 + v).
v(avg) = v0 + 1/2 at
x - x0 = v0t + 1/2a(t^2)
Third Basic Equation
v^2 = v(0 -> 2) + 2a(x - x0)